Copyright

Ch 16: Geometry and Trigonometry - AP Calculus: Homeschool Curriculum

About This Chapter

The Geometry and Trigonometry unit of this AP Calculus Homeschool course is designed to help homeschooled students learn to solve geometry and trigonometry problems. Parents can use the short videos to introduce topics, break up lessons and keep students engaged.

Who's it for?

This unit of our AP Calculus Homeschool course will benefit any student who is trying to learn about geometry and trigonometry. There is no faster or easier way to learn about calculus. Among those who would benefit are:

  • Students who require an efficient, self-paced course of study to learn to visualize geometry problems using hands-on and graphical approaches.
  • Homeschool parents looking to spend less time preparing lessons and more time teaching.
  • Homeschool parents who need a calculus curriculum that appeals to multiple learning types (visual or auditory).
  • Gifted students and students with learning differences.

How it works:

  • Students watch a short, fun video lesson that covers a specific unit topic.
  • Students and parents can refer to the video transcripts to reinforce learning.
  • Short quizzes and a Geometry and Trigonometry unit exam confirm understanding or identify any topics that require review.

Geometry and Trigonometry Unit Objectives:

  • Use the Pythagorean Theorem to find distance.
  • Learn to graph sines and cosines.
  • Use the Pythagorean Theorem to go between right triangles and trigonometry.
  • Calculate the volume of pyramids, spheres and other shapes.

5 Lessons in Chapter 16: Geometry and Trigonometry - AP Calculus: Homeschool Curriculum
Test your knowledge with a 30-question chapter practice test
How to Solve Visualizing Geometry Problems

1. How to Solve Visualizing Geometry Problems

Visualizing geometry problems involves knowing the expected results, and identifying the important pieces of information to make sure all the mathematical details match the word problem. See several examples of how to solve these problems correctly.

How to Calculate the Volumes of Basic Shapes

2. How to Calculate the Volumes of Basic Shapes

The basic formula for volume is length * width * height and is necessary in geometry and the science of understanding mass in the form of basic shapes. Learn more about how to calculate the volumes of basic shapes and use the methodologies.

Finding Distance with the Pythagorean Theorem

3. Finding Distance with the Pythagorean Theorem

The Pythagorean theorem outlines principles for right triangles, but it can also be used to calculate distance between points. Learn how this theorem is applied to practical examples of ice cream, skateboard ramps, and even the cliff-peak in 'The Lion King.'

Trigonometry: Sine and Cosine

4. Trigonometry: Sine and Cosine

Sine and cosine are basic trigonometric functions that are used to solve for the angles and sides of triangles. Review trigonometry concepts and learn about the mnemonic used for sine, cosine, and tangent functions.

Trigonometry and the Pythagorean Theorem

5. Trigonometry and the Pythagorean Theorem

The SohCahToa and the Pythagorean Theorem are two rules for finding equations in trigonometry. Learn more about the definitions of the SohCahToa and the Pythagorean Theorem, understand how they work, and how to use them in calculus.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken
More Exams
There are even more practice exams available in Geometry and Trigonometry - AP Calculus: Homeschool Curriculum.

Earning College Credit

Did you know… We have over 220 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Support